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Sagot :
Answer:
87
Explanation:
This is an arithmetic sequence with common difference: 7 and first term: 17
Arithmetic sequence:
a + (n - 1)d where n is term position, d is difference, a is first term
17 + (n - 1)7
7n + 10
The eleventh term:
7n + 10
7(11) + 10
77 + 10
87
To Find :-
- Eleventh term of the sequence.
Solution :-
Given A.P.,
- 17 , 24 , 31 , 38 …
First term (a) is 17.
Common difference (d) = 24 - 17 => 7
We know that :
- tn = a + (n - 1) d
Here n would be 11.
>> t11 = 17 + (11 - 1) 7
>> t11 = 17 + (10) 7
>> t11 = 17 + (10) × 7
>> t11 = 17 + 70
>> t11 = 87
Therefore, eleventh term in the sequence is 87.
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